# Some properties of correlations of quantum lattice systems in thermal equilibrium

## Abstract

Simple proofs of uniqueness of the thermodynamic limit of KMS states and of the decay of equilibrium correlations are presented for a large class of quantum lattice systems at high temperatures. New quantum correlation inequalities for general Heisenberg models are described. Finally, a simplified derivation of a general result on power-law decay of correlations in 2D quantum lattice systems with continuous symmetries is given, extending results of McBryan and Spencer for the 2D classical XY model.

- Authors:

- Institut für Theoretische Physik, ETH Zürich (Switzerland)
- Department of Mathematics, University of Warwick, Coventry CV4 7AL (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 22403147

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Physics

- Additional Journal Information:
- Journal Volume: 56; Journal Issue: 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATIONS; DECAY; HEISENBERG MODEL; THERMAL EQUILIBRIUM

### Citation Formats

```
Fröhlich, Jürg, E-mail: juerg@phys.ethz.ch, and Ueltschi, Daniel, E-mail: daniel@ueltschi.org.
```*Some properties of correlations of quantum lattice systems in thermal equilibrium*. United States: N. p., 2015.
Web. doi:10.1063/1.4921305.

```
Fröhlich, Jürg, E-mail: juerg@phys.ethz.ch, & Ueltschi, Daniel, E-mail: daniel@ueltschi.org.
```*Some properties of correlations of quantum lattice systems in thermal equilibrium*. United States. doi:10.1063/1.4921305.

```
Fröhlich, Jürg, E-mail: juerg@phys.ethz.ch, and Ueltschi, Daniel, E-mail: daniel@ueltschi.org. Fri .
"Some properties of correlations of quantum lattice systems in thermal equilibrium". United States. doi:10.1063/1.4921305.
```

```
@article{osti_22403147,
```

title = {Some properties of correlations of quantum lattice systems in thermal equilibrium},

author = {Fröhlich, Jürg, E-mail: juerg@phys.ethz.ch and Ueltschi, Daniel, E-mail: daniel@ueltschi.org},

abstractNote = {Simple proofs of uniqueness of the thermodynamic limit of KMS states and of the decay of equilibrium correlations are presented for a large class of quantum lattice systems at high temperatures. New quantum correlation inequalities for general Heisenberg models are described. Finally, a simplified derivation of a general result on power-law decay of correlations in 2D quantum lattice systems with continuous symmetries is given, extending results of McBryan and Spencer for the 2D classical XY model.},

doi = {10.1063/1.4921305},

journal = {Journal of Mathematical Physics},

issn = {0022-2488},

number = 5,

volume = 56,

place = {United States},

year = {2015},

month = {5}

}

DOI: 10.1063/1.4921305

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.